The solvability of linear matrix equations over a central simple algebra

DOI10.1080/03081089608818451zbMath0869.15010OpenAlexW2046591191MaRDI QIDQ3124880

Li-Ping Huang

Publication date: 13 March 1997

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089608818451

zbMATH Keywords

linear matrix equationfinite-dimensional central simple algebramethod of representation

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (3)

Similarity reduction of matrix over a quaternion division ring ⋮ The minimal polynomial of a matrix^∗ ⋮ The explicit solutions and solvability of linear matrix equations

Cites Work

• Linear matrix equations: The module theoretic approach
• Roth's theorems over commutative rings
• Explicit solution of the matrix equation \(AXB-CXD=E\)
• L-structured matrices and linear matrix equations^∗
• Explicit Solutions of the Matrix Equation $\sum {A^i XD_i } = C$
• The matrix equationAXB+CYD=Eover a simple artinian ring

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